381780864 has 160 divisors (see below), whose sum is σ = 1186313040. Its totient is φ = 121651200.

The previous prime is 381780829. The next prime is 381780881. The reversal of 381780864 is 468087183.

381780864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 237664 + ... + 239264.

Almost surely, 2^381780864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381780864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593156520).

381780864 is an abundant number, since it is smaller than the sum of its proper divisors (804532176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

381780864 is a wasteful number, since it uses less digits than its factorization.

381780864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 381780864 is about 19539.2134949184. The cubic root of 381780864 is about 725.4453792931.

It can be divided in two parts, 3817 and 80864, that added together give a square (84681 = 291²).

The spelling of 381780864 in words is "three hundred eighty-one million, seven hundred eighty thousand, eight hundred sixty-four".